欢迎光临澳大利亚新华书店网 [登录 | 免费注册]

    • 微积分(上下)(英文版)
      • 作者:编者:万源//邓艳芳|责编:彭佳佳
      • 出版社:武汉理工
      • ISBN:9787562966531
      • 出版日期:2022/09/01
      • 页数:563
    • 售价:39.2
  • 内容大纲

        With the international development of universities and the open running strategies,many universities and majors require higher-level education on teaching. Bilingualteaching and full English teaching have become widespread educational modes. Manyforeign original Calculus textbooks have been introduced in recent years, but comparedto domestic Calculus textbooks, there exist a number of differences in system, contentand styles. For example, domestic textbooks focus on profound concepts and theoreticalderivation, while foreign original textbooks emphasize the application and numericalmethods, leading to the inconvenience for readers to learn. Thus, with extensive anddeep investigation, we organized a team of teachers who have overseas study experienceand long-term teaching experience to compile this Calculus textbook, which absorbs theadvantages of both domestic and foreign textbooks, mainly reflected in the followingaspects.
        1. The introduction of mathematical concepts is focused on understanding, withexplicit language and detailed depiction. Most examples contain a geometric picture toaid understanding.
        2. We try to retain the rigorous derivation as domestic calculus textbooks, andmost theorems are proved.
        3. The application is emphasized, embodied from examples and exercises. Wesuggest students do the exercises as much as possible to hone the ability of applyingmathematics.
  • 作者介绍

  • 目录

    Chapter 1  Functions and Limits
      1.1  Functions
        1.1.1  Sets
        1.1.2  Intervals and Neighborhood
        1.1.3  Function
        1.1.4  Properties of Function
        1.1.5  Inverse Function
        1.1.6  Composite Function
        1.1.7  Elementary Functions
        Problem Set 1.1
      1.2  The Limit of a Function
        1.2.1  Intuitive Meaning of Limit
        1.2.2  The Precise Definition of a Limit
        1.2.3  One-Sided Limits
        1.2.4  The Limit at Infinity
        1.2.5  The Properties of Limits
        Problem Set 1.2
      1.3  Limit of a Sequence
        Problem Set 1.3
      1.4  Infinitesimals and Infinity
        1.4.1  Infinitesimal
        1.4.2  Infinite Limit
        1.4.3  The Relationship between Infinitesimal and Infinite Limit
        Problem Set 1.4
      1.5  The Limit Theorems
        Problem Set 1.5
      1.6  Two Remarkable Limits
        1.6.1  The Squeeze Theorem
        1.6.2  Remarkable Limit □(数学公式)
        1.6.3  Monotonic Sequence Theorem
        1.6.4 Remarkable Limit Limit □(数学公式)
        Problem Set 1.6
      1.7  Comparison of Infinitesimals
        Problem Set 1.7
      1.8  Continuity
        1.8.1  Continuity at a Point
        1.8.2  Continuity on an Interval
        1.8.3  Discontinuous Points
        1.8.4  Operations on Continuous Functions
        Problem Set 1.8
      1.9  Properties of Continuous Functions on Closed Intervals
      Problem Set 1.9
      Chapter Exercise 1
    Chapter 2  Derivatives and Differentials
      2.1  Concept of Derivatives
        2.1.1  Two Examples with the Same Theme
        2.1.2  Definition of Derivatives
        2.1.3  Left-hand Derivatives and Right-hand Derivatives
        2.1.4  The Relationship between Differentiability and Continuity
        Problem Set 2.1

      2.2  Rules of Finding Derivatives
        2.2.1  Four Arithmetic Operation Rules of Derivatives
        2.2.2  The Derivative Rule for Inverse Functions
        2.2.3  The Derivative Rule for Composite Functions
        2.2.4  The Summary of Derivative Formulas and Rules
        Problem Set 2.2
      2.3  Higher-Order Derivatives
        Problem Set 2.3
        2.4  Implicit Differentiation and Parametric Equations
        2.4.1  Implicit Differentiation
        2.4.2  Parametric Equations
    ……
    Chapter 3  The Mean Value Theorems and the Applications of Derivatives
    Chapter 4  Indefinite Integrals
    Chapter 5  Definite Integrals
    Chapter 6  Applications of Definite Integral
    Chapter 7  Differential Equations
    Chapter 8  Space Analytic Geometry
    Chapter 9  Derivatives of Multi-variable Functions
    Chapter 10  Integrals in Space
    Chapter 11  Line Integrals and Surface Integrals
    Chapter 12  Infinite Series

同类热销排行榜

推荐书目

  • 孩子你慢慢来/人生三书 华人世界率性犀利的一枝笔,龙应台独家授权《孩子你慢慢来》20周年经典新版。她的《...

  • 时间简史(插图版) 相对论、黑洞、弯曲空间……这些词给我们的感觉是艰深、晦涩、难以理解而且与我们的...

  • 本质(精) 改革开放40年,恰如一部四部曲的年代大戏。技术突变、产品迭代、产业升级、资本对接...

更多>>>